用随机选取法(RCM)计算高温平衡气体的激波管流动

THE CALCULATION OF A SHOCK TUBE FLOW OF EQUILIBRIUM AIR BY USING RANDOM CHOICE METHOD (RCM)

本文用RCM方法计算了高温平衡气体的激波管流动。在求解Riemann问题时,激波关系式采用精确解,而对于稀疏波关系式,本文建立了等效比热比的局部理想气体近似关系式,从而使RCM方法大为简化,并具有足够精度。

Based on the idea that the equivalent r =1 + (p/pe) varies more slowly in the rarefaction fan on a grid than other thermo-dynamic variables of P, p, h for equilibrium air, an approximate rarefaction equation with local unchanged value of r on the grid has been developed for the solutions of Riemann problem. The com-parisions between exact and approximate numerical solutions of RCM confirm the enough accuracy and high efficiency of the method of this paper.